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Finding the Fourth Proportional to 2,135.66, 2,928.39 and 1,924.98

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Solution

The fourth proportional to 2,135.66, 2,928.39 and 1,924.98 is: 2,639.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.66 : 2,928.39 = 1,924.98 : x
  2. Step 2: Convert to fraction form
    2,135.66/2,928.39 = 1,924.98/x
  3. Step 3: Cross multiply
    2,135.66x = 2,928.39 × 1,924.98
  4. Step 4: Simplify right side
    2,135.66x = 5,637,092.18
  5. Step 5: Solve for x
    x = 5,637,092.18/2,135.66
  6. Step 6: Final answer
    x = 2,639.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.